Least Common Multiple (LCM) of 76 and 134
The least common multiple (LCM) of 76 and 134 is 5092.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 76 and 134?
First, calculate the GCD of 76 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 134 = 0 remainder 76 |
| 2 | 134 ÷ 76 = 1 remainder 58 |
| 3 | 76 ÷ 58 = 1 remainder 18 |
| 4 | 58 ÷ 18 = 3 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 53 | 5459 |
| 77 and 31 | 2387 |
| 154 and 57 | 8778 |
| 105 and 151 | 15855 |
| 130 and 185 | 4810 |